5/8 + 11/20 as a fraction

Learn how to find what is 5/8 plus 11/20 in fraction form just in a few minutes. We have covered the easiest method to write 5/8 + 11/20 as a fraction and decimal.

Summary: 5/8 plus 11/20 = 47/40
Since both fractions have unequal denominators, 5/8 plus 11/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/8 and fraction 11/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 20. 40 is the LCM of 8 and 20. Multiplying the LCM 40 with the numerators and denominators of both fractions (5/8 x 40/40) + (11/20 x 40/40), and simplify further in order to have the common denominator. So the equivalent fraction for 5/8 is 25/40 and for 11/20 is 22/40. By simplifying this fraction addition 25/40 + 22/40, it becomes 47/40.

CALCULATION: 5/8 + 11/20 as a fraction
5/8 + 11/20 = (?)
5/8 + 11/20 = [(5 x 20) + (11 x 8)]/(8 x 20)
= (100 + 88)/160
= 188/160
= (4 x 47)/(4 x 40)
= 47/40
5/8 + 11/20 = 47/40
5/8 plus 11/20 as a fraction is 47/40.

where
5/8 is a proper fraction as an addend,
11/20 is a proper fraction as an addend,
47/40 is the sum of 5/8 and 11/20.

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5/8 plus 11/20 as a decimal
5/8 + 11/20 = 47/40
47/40 = 1.175
(5/8) + (11/20) as a decimal is 1.175

where
1.175 is the sum of 5/8 and 11/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/8 and 11/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/8 plus 11/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/8) + (11/20) using LCM Method:
What is 5/8 plus 11/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 11/20

What to be found?
(5/8) + (11/20) = ?
Find what's the sum of 5/8 and 11/20.

step 2 Compare the denominators of fractions 5/8 and 11/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/8 and 11/20 are not equal, it is said to be unlike fractions addition.

step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 5/8 and 11/20:
The LCM of 8 and 20 is 40.

step 4 Write the fractions 5/8 and 11/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/8 + 11/20
= [(5 x 40)/(8 x 40)] + [(11 x 40)/(20 x 40)]

step 5 Simplify the expression to have common denominator:
= 25/40 + 22/40

step 6 Take the common values out and rewrite the above expression like the below:
= 1/40 x (25/1 + 22/1)
= 1/40 x (25 + 22)

step 7Simplify the above expression further:
= 1/40 x 47
= 47/40
5/8 + 11/20 = 47/40

Hence,
5/8 plus 11/20 as a fraction is 47/40.

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5/8 + 11/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 11/20

What to be found?
(5/8)+(11/20) = ?
Find what's the sum of 5/8 and 11/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 20), find the product of numerator of Fraction B and denominator of Fraction A (11 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 20) and rewrite the equation as like the below:
= (5 x 20) + (11 x 8)/(8 x 20)

step 3 Simplify and rewrite the fraction:
= (100 + 88)/160
= 188/160
= 47/40
5/8 + 11/20 = 47/40

Hence,
5/8 plus 11/20 in fraction is 47/40